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Finding the Third Proportional to 31,320 and 48,475

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Solution

The third proportional to 31,320 and 48,475 is: 75,026.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,320 : 48,475 = 48,475 : x
  2. Step 2: Convert to fraction form
    31,320/48,475 = 48,475/x
  3. Step 3: Cross multiply
    31,320x = 48,475 × 48,475
  4. Step 4: Simplify right side
    31,320x = 2,349,825,625
  5. Step 5: Solve for x
    x = 2,349,825,625/31,320
  6. Step 6: Final answer
    x = 75,026.36

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.